CN114581561B - Mirror cup artistic design method and device - Google Patents
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Abstract
The invention relates to a mirror cup artistic design method and a device, wherein the method comprises the following steps: step S1: receiving two input pictures, and preprocessing the two input pictures to obtain corresponding pure-color pictures; receiving an input curved surface, and preprocessing the input curved surface to obtain a reflection shape of the input curved surface under the columnar mirror surface; receiving parameters of an input observation camera; step S2: projecting the pure-color picture to a curved surface from an observation camera according to parameters of the pure-color picture, then rendering the pure-color picture by using the parameters of the observation camera, and calculating compatibility scores of the pure-color picture and the pure-color picture; s3: taking the preset proportion of the compatibility score as a second energy weight, and adjusting the shape of the input curved surface and the pattern on the input curved surface according to a first optimization function to obtain a preliminary result; s4: taking the preset proportion of the compatibility score as a fourth energy weight, and adjusting the shape and the pattern of the preliminary result according to the second optimization function to obtain a curved surface shape; and projecting the input direct observation picture and the reflection observation picture to the curved surface shape according to parameters from an observation camera according to the curved surface shape to obtain a final curved surface. The method provided by the invention reduces the design time of the mirror cup, is convenient for designing new artwork, and solves the problem that the design is difficult to reproduce.
Description
Technical Field
The invention relates to the technical field of visual art design, in particular to a mirror cup art design method and device.
Background
The mirror cup art is that a curved surface with patterns is designed, so that different design patterns can be respectively seen by directly watching the curved surface and watching the curved surface through a columnar mirror surface. The existing design method is usually a manual try method, specifically, by imagining drawing a pattern on a curved surface, placing a mirror surface to view the result and modifying according to the result, and redesigning the pattern and the curved surface shape on the curved surface until the result is satisfied.
The inventor researches on the existing art design method of the mirror cup to find that an operator has to be a very experienced professional, and because of continuous trial and error, the new art cannot be designed easily, and reproduction is difficult.
Disclosure of Invention
In order to solve the technical problems, the invention provides a mirror cup artistic design method and a mirror cup artistic design device.
The technical scheme of the invention is as follows: a method of artistic design of a mirror cup, comprising:
step S1: inputting a direct observation picture and a reflection observation picture, filling a colored area of the direct observation picture into black, and filling other areas into light blue to obtain a pure-color picture of the direct observation picture; filling the colored areas of the reflection observation picture with white, and filling other areas with light blue to obtain a pure-color picture of the reflection observation picture; inputting a curved surface, and preprocessing the curved surface to obtain a reflecting shape curved surface of the curved surface under the columnar mirror surface; receiving parameters of an input observation camera;
step S2: projecting the pure-color picture of the direct observation picture to the curved surface from an observation camera according to parameters of the pure-color picture, and transferring the pure-color picture to the reflecting curved surface according to a corresponding relation to obtain a reflecting curved surface with patterns; projecting the reflection observation picture on the curved surface through specular reflection according to parameters of the reflection observation picture from an observation camera to obtain a curved surface with patterns; after the two are rendered by using the parameters of the observation camera, a reflective curved surface picture with a pattern and a curved surface picture with a pattern are rendered, and the errors of the reflective curved surface picture with the pattern and the pure color picture of the corresponding direct observation picture and the pure color picture of the reflective observation picture are calculated and summed to obtain a compatibility score;
step S3: taking the preset proportion of the compatibility scores as a second energy weight, and adjusting the shape of the input curved surface and the pattern on the input curved surface according to a first optimization function to obtain a preliminary result;
step S4: taking the preset proportion of the compatibility scores as a fourth energy weight, and adjusting the shape and the pattern of the preliminary result according to a second optimization function to obtain a curved surface shape; and projecting the input direct observation picture and reflection observation picture to the curved surface shape according to parameters of the direct observation picture and the reflection observation picture from an observation camera according to the curved surface shape to obtain a final curved surface.
Compared with the prior art, the invention has the following advantages:
the invention discloses a mirror cup artistic design method, which ensures that an operator does not need to be a very experienced professional in the mirror cup artistic design process, reduces the design time, facilitates the design of new artworks, and solves the problem that the same input pattern and curved surface are easy to reproduce.
Drawings
FIG. 1 is a flow chart of a method for artistic designing of a mirror cup according to an embodiment of the present invention;
FIG. 2A is an input direct view picture and a reflected picture;
FIG. 2B is a solid-color picture of an input direct view picture and a solid-color picture of a reflected picture;
FIG. 2C is a curved surface of the input curved surface in a reflective shape under a cylindrical mirror;
FIG. 3A is a rendered direct view picture and a rendered reflected view picture after initial adjustment;
FIG. 3B is a graph showing the results of the initial adjustment;
FIG. 4A is a final rendered direct view and reflected view after a second adjustment;
FIG. 4B shows the final curved surface result after the second adjustment;
FIG. 5A is a direct view and a reflected view on the final surface;
FIG. 5B is a direct view of the final surface;
fig. 6 is a block diagram of a design device for art design of a mirror cup according to an embodiment of the present invention.
Detailed Description
The invention provides a mirror cup artistic design method, which reduces the design time of a mirror cup, is convenient for designing new artwork and solves the problem that the design is difficult to reproduce.
The present invention will be further described in detail below with reference to the accompanying drawings by way of specific embodiments in order to make the objects, technical solutions and advantages of the present invention more apparent.
Example 1
As shown in fig. 1, the art design method for a mirror cup provided by the embodiment of the invention comprises the following steps:
step S1: inputting a direct observation picture and a reflection observation picture, filling a colored region of the direct observation picture into black, and filling other regions into light blue to obtain a pure-color picture of the direct observation picture; filling the colored area of the reflection observation picture into white, and filling other areas into light blue to obtain a pure-color picture of the reflection observation picture; inputting a curved surface, and preprocessing the curved surface to obtain a reflecting shape curved surface of the curved surface under the columnar mirror surface; receiving parameters of an input observation camera;
step S2: projecting the pure-color picture of the direct observation picture to the curved surface from the observation camera according to parameters of the pure-color picture, and transferring the pure-color picture to the reflecting curved surface according to the corresponding relation to obtain a reflecting curved surface with patterns; projecting the reflection observation picture on the curved surface from the observation camera according to parameters thereof by specular reflection to obtain the curved surface with patterns; after the two are rendered by using the parameters of the observation camera, a reflective curved surface picture with a pattern and a curved surface picture with a pattern are rendered, and the errors of the reflective curved surface picture with the pattern and the pure color picture of the corresponding direct observation picture and the pure color picture of the reflective observation picture are calculated and summed to obtain a compatibility score;
step S3: taking the preset proportion of the compatibility score as a second energy weight, and adjusting the shape of the input curved surface and the pattern on the input curved surface according to a first optimization function to obtain a preliminary result;
step S4: taking the preset proportion of the compatibility score as a fourth energy weight, and adjusting the shape and the pattern of the preliminary result according to the second optimization function to obtain a curved surface shape; and projecting the input direct observation picture and the reflection observation picture to the curved surface shape according to parameters from an observation camera according to the curved surface shape to obtain a final curved surface.
In one embodiment, step S1 described above: inputting a direct observation picture and a reflection observation picture, filling a colored region of the direct observation picture into black, and filling other regions into light blue to obtain a pure-color picture of the direct observation picture; filling the colored area of the reflection observation picture into white, and filling other areas into light blue to obtain a pure-color picture of the reflection observation picture; inputting a curved surface, and preprocessing the curved surface to obtain a reflecting shape curved surface of the curved surface under the columnar mirror surface; receiving parameters of an input observation camera, specifically comprising:
when two pictures selected by a user are received, the two pictures are respectively a direct observation picture and a reflection observation picture. As shown in fig. 2A, the lower picture is a direct view picture, and the upper picture is a reflection picture. That is, after the design of the mirror cup, the lower picture can be directly watched on the curved surface, and the upper picture needs to be watched through a columnar mirror surface. Then filling the colored areas of the direct observation picture with black and filling other areas with light blue; and filling the colored areas of the reflection observation picture with white, and filling other areas with light blue to obtain a pure-color picture, wherein as shown in fig. 2B, the upper white picture part is the pure-color picture of the reflection observation picture, and the lower black picture part is the pure-color picture of the direct observation picture.
When an input curved surface is received, the curved surface is preprocessed, and the reflection shape of the curved surface under the columnar mirror surface is calculated, as shown in fig. 2C. Since the mirror surface is columnar, only the reflection position on the horizontal plane of the vertex of the grid needs to be calculated, and the height cannot be changed. When calculating the horizontal reflection position, a dichotomy is adopted in the calculation process for inquiring the curved columnar mirror surface to obtain a result meeting the precision requirement, but the method is not limited by specific solving methods.
In one embodiment, step S2 above: projecting the pure-color picture of the direct observation picture to the curved surface from the observation camera according to parameters of the pure-color picture, and transferring the pure-color picture to the reflecting curved surface according to the corresponding relation to obtain a reflecting curved surface with patterns; projecting the reflection observation picture on the curved surface from the observation camera according to parameters thereof by specular reflection to obtain the curved surface with patterns; after the two are rendered by using the parameters of the observation camera, a curved surface picture with a pattern and a curved surface picture with a pattern are rendered, and the errors of the curved surface picture with the pattern and the corresponding pure-color picture of the direct observation picture and the pure-color picture of the reflection observation picture are calculated and summed to obtain the compatibility score.
After the curved surface picture with the pattern and the curved surface picture with the pattern are rendered, the curved surface shape and the curved surface pattern are required to be adjusted, the curved surface pattern is firstly set to be gray, and then the curved surface pattern is adjusted, so that the curved surface rendering result gradually approaches to the corresponding pure-color pattern. The adjustment process adopts the optimization function designed by the invention for adjustment.
In one embodiment, the step S3: the method comprises the steps of taking a preset proportion of compatibility scores as a second energy weight, and adjusting the shape of an input curved surface and a pattern on the input curved surface according to a first optimization function to obtain a preliminary result, wherein the preliminary result comprises the following steps:
according to a first optimization function, as shown in a formula (1), the shape of an input curved surface and the pattern on the input curved surface are adjusted to obtain a preliminary result:
wherein h is the height field of the input curved surface, and is represented by a triangular mesh, c is the color of the triangular surface on the curved surface, and w is the weight of the second energy;
for the first energy, the distance energy of the rendered picture and the solid-color picture is represented by using an image error, as shown in formula (2):
wherein,and->The pure-color picture of the direct observation picture and the pure-color picture of the reflection observation picture are respectively +.>And->Rendering a patterned curved surface picture and rendering a patterned reflective shape curved surface picture, respectively,/->The F norm of the difference of the picture matrixes of the two, namely the square sum of the difference of corresponding elements;
the purpose of the formula (2) is to make the rendered picture as close as possible to a solid-color picture; as shown in fig. 3A, the first-adjusted rendered direct view picture and the first-adjusted rendered reflected view picture are shown;
E deform (h) The second energy is the energy for controlling the deformation of the curved surface, as shown in formula (3):
wherein v is i Representing vertices, z of a surface mesh i Representing the height value of the vertex, h i The height value of the initial curved surface of the vertex is represented, L represents the Laplacian, and is the average difference between the height of the vertex and the height of the surrounding vertexes;
the purpose of equation (2) is to control the surface variation not to be too severe;
E barrier (h, c) is a third energy for controlling the energy of the vertex displacement range and the color variation range, as shown in the formula (4):
wherein delta is a preset vertex variation range, f j Triangular surface with curved surface c j Is the color of triangular surface { r j ，g j ，b j The values of red, green and blue, respectively, phi is the barrier function, as shown in equation (5):
the barrier function controls the displacement variation of the vertex not to exceed delta, and the color variation is always between 0 and 1.
Wherein w in the formula (1) is the weight of the second energy, the result can be controlled by adjusting the weight, the rendering result can be close to the target image as much as possible by the small weight, but the curved surface changes more severely, and the curved surface deformation can be more gentle by the large weight. The derivative from the image to the grid needs to be taken during the optimization process and therefore a micro-renderable algorithm needs to be used. In the embodiment of the invention, a Softras algorithm is adopted as a micro-renderable algorithm, and the algorithm needs to set parameters to determine the image blurring degree. In the embodiment of the invention, a two-step optimization method is adopted to find a better solution. The SoftRas parameter settings were 0.00001 and 0.0000001, respectively. w may be set according to the specific case, and in the embodiment of the present invention, w is set to 0.08 times and 0.2 times the compatibility score, respectively. H and c of the optimization solving formula (1) are the height and color values of the preliminary curved surface shape. The result of the initial adjustment of the curved surface is shown in fig. 3B.
In one embodiment, step S4 above: taking the preset proportion of the compatibility score as a fourth energy weight, and adjusting the shape and the pattern of the preliminary result according to the second optimization function to obtain a curved surface shape; projecting the input direct observation picture and reflection observation picture to the curved surface shape according to parameters from an observation camera according to the curved surface shape to obtain a final curved surface, wherein the method specifically comprises the following steps of:
according to a second optimization function, as shown in a formula (6), the shape and pattern of the preliminary result are adjusted:
wherein,and E is barrier (h, c) is as in formula (1); λ is the weight of the fourth energy; e (E) sparse (h) For the fourth energy, the energy for controlling the curved surface to generate the spike is shown as a formula (7):
wherein,the height of the preliminary adjusted curved surface calculated by the formula (1) in the step S3.
The purpose of equation (7) is to make the number of movements of the vertices as small as possible, and to fine-tune the shape while maintaining the preliminary result.
In this step, the rendering of the image still uses SoftRas, the parameter is set to 0.0000001.λ is the weight of the fourth energy, and by adjusting the weight, the result can be controlled, and a small weight can make the rendering result as close as possible to the target image, but the curved surface changes more severely, and a large weight can make the curved surface remain unchanged basically. λ may be set according to the specific case, and in the embodiment of the present invention, λ is set to 0.00006 times the compatibility score. The results are shown in fig. 4A and fig. 4B, where fig. 4A is the final rendered direct view image and reflected view image after the second adjustment, and fig. 4B is the final curved surface result after the second adjustment.
Finally, according to the curved surface shape, the input direct observation picture and the reflection observation picture are projected onto the surface from the observation camera according to parameters of the direct observation picture and the reflection observation picture to obtain a final curved surface, and the mirror cup art is realized.
When projection calculation is performed, whether each triangular surface is blocked or not is determined. If the triangular surface is blocked under one condition when being directly observed or observed through the columnar mirror surface, the color of the triangular surface is endowed with the color of the picture under the unobstructed view angle; if both cases are blocked, setting a curved surface default color; if the two pictures are not shielded, setting the two pictures to be the average of the colors of the corresponding positions, and finally manufacturing the obtained curved surface to realize the mirror cup art. As shown in the upper picture in fig. 5A, the reflection observation picture is observed through the columnar mirror surface on the final curved surface, and fig. 5B is a direct observation picture on the final curved surface. Different pictures can be seen on one curved surface through direct observation and reflection of the columnar mirror surface, so that the mirror cup art is realized.
The invention discloses a mirror cup artistic design method, which ensures that an operator does not need to be a very experienced professional in the mirror cup artistic design process, reduces the design time, facilitates the design of new artworks, and solves the problem that the same input pattern and curved surface are easy to reproduce.
Example two
As shown in fig. 6, an embodiment of the present invention provides a mirror cup artistic design device, which includes the following modules:
the preprocessing module is used for inputting a direct observation picture and a reflection observation picture, filling a colored area of the direct observation picture into black, and filling other areas into light blue to obtain a pure-color picture of the direct observation picture; filling the colored area of the reflection observation picture into white, and filling other areas into light blue to obtain a pure-color picture of the reflection observation picture; inputting a curved surface, and preprocessing the curved surface to obtain a reflecting shape curved surface of the curved surface under the columnar mirror surface; receiving parameters of an input observation camera;
the compatibility scoring module is used for projecting the pure-color picture of the direct observation picture to the curved surface from the observation camera according to the parameters of the pure-color picture and then transferring the pure-color picture to the reflecting curved surface according to the corresponding relation to obtain the reflecting curved surface with the pattern; projecting the reflection observation picture on the curved surface from the observation camera according to parameters thereof by specular reflection to obtain the curved surface with patterns; after the two are rendered by using the parameters of the observation camera, a reflective curved surface picture with a pattern and a curved surface picture with a pattern are rendered, and the errors of the reflective curved surface picture with the pattern and the pure color picture of the corresponding direct observation picture and the pure color picture of the reflective observation picture are calculated and summed to obtain a compatibility score;
the preliminary adjustment module is used for taking the preset proportion of the compatibility score as a second energy weight, and adjusting the shape of the input curved surface and the pattern on the input curved surface according to the first optimization function to obtain a preliminary result;
the final adjustment module is used for adjusting the shape and the pattern of the preliminary result according to the second optimization function to obtain the curved surface shape according to the preset proportion of the compatibility score as the fourth energy weight; and projecting the input direct observation picture and the reflection observation picture to the curved surface shape according to parameters from an observation camera according to the curved surface shape to obtain a final curved surface.
The above examples are provided for the purpose of describing the present invention only and are not intended to limit the scope of the present invention. The scope of the invention is defined by the appended claims. Various equivalents and modifications that do not depart from the spirit and principles of the invention are intended to be included within the scope of the invention.
Claims (4)
1. A method of artistic designing a mirror cup, comprising:
step S1: inputting a direct observation picture and a reflection observation picture, filling a colored area of the direct observation picture into black, and filling other areas into light blue to obtain a pure-color picture of the direct observation picture; filling the colored areas of the reflection observation picture with white, and filling other areas with light blue to obtain a pure-color picture of the reflection observation picture; inputting a curved surface, and preprocessing the curved surface to obtain a reflecting shape curved surface of the curved surface under the columnar mirror surface; receiving parameters of an input observation camera;
step S2: projecting the pure-color picture of the direct observation picture to the curved surface from an observation camera according to parameters of the pure-color picture, and transferring the pure-color picture to the reflecting curved surface according to a corresponding relation to obtain a reflecting curved surface with patterns; projecting the reflection observation picture on the curved surface through specular reflection according to parameters of the reflection observation picture from an observation camera to obtain a curved surface with patterns; after the two are rendered by using the parameters of the observation camera, a rendered reflection shape curved surface picture with a pattern and a rendered curved surface picture with a pattern are obtained, and errors of the two curved surface pictures with the pattern, the corresponding pure-color picture of the direct observation picture and the corresponding pure-color picture of the reflection observation picture are calculated and summed to obtain a compatibility score;
step S3: taking the preset proportion of the compatibility scores as a second energy weight, and adjusting the shape of the input curved surface and the pattern on the input curved surface according to a first optimization function to obtain a preliminary result;
step S4: taking the preset proportion of the compatibility scores as a fourth energy weight, and adjusting the shape and the pattern of the preliminary result according to a second optimization function to obtain a curved surface shape; and projecting the input direct observation picture and reflection observation picture to the curved surface shape according to parameters of the direct observation picture and the reflection observation picture from an observation camera according to the curved surface shape to obtain a final curved surface.
2. The art design method of a mirror cup according to claim 1, wherein the step S3: the shape of the input curved surface and the pattern on the input curved surface are adjusted according to a first optimization function to obtain a preliminary result according to the preset proportion of the compatibility score as a second energy weight, and the method specifically comprises the following steps:
according to a first optimization function, as shown in a formula (1), the shape of the input curved surface and the pattern on the input curved surface are adjusted to obtain a preliminary result:
wherein h is the height field of the input curved surface, and is represented by a triangular grid, c is the color of a triangular surface on the curved surface, and w is the weight of the second energy;
for the first energy, the distance energy of the rendered picture and the solid-color picture is represented by using an image error, as shown in formula (2):
wherein the method comprises the steps of，And->A solid-color picture of the direct observation picture and a solid-color picture of the reflected observation picture,and->The method comprises the steps of rendering a patterned curved surface picture and rendering a patterned reflection shape curved surface picture respectively, and performing +.>The F norm of the difference of the picture matrixes of the two, namely the square sum of the difference of corresponding elements;
E deform (h) The second energy is the energy for controlling the deformation of the curved surface, as shown in formula (3):
wherein v is i Representing vertices, z of a surface mesh i Representing the height value of the vertex, h i A height value representing the initial curved surface of the vertex, L representing the Laplacian, and being the average difference between the height of the vertex and the height of the surrounding vertices;
E barrier (h, c) is a third energy for controlling the energy of the vertex displacement range and the color variation range, as shown in the formula (4):
wherein delta is a preset vertex variation range, f j Triangular surface with curved surface c j Is the color of triangular surface { r j ，g j ，b j The values of red, green and blue, respectively, phi is the barrier function, as shown in equation (5):
the barrier function controls the displacement variation of the vertices to not exceed delta, with a color variation always between 0 and 1.
3. The art design method of a mirror cup according to claim 1, wherein the step S4: taking the preset proportion of the compatibility scores as a fourth energy weight, and adjusting the shape and the pattern of the preliminary result according to a second optimization function to obtain a curved surface shape; projecting the input direct observation picture and reflection observation picture to the curved surface shape according to parameters from an observation camera according to the curved surface shape to obtain a final curved surface, wherein the method specifically comprises the following steps of:
adjusting the shape and pattern of the preliminary result according to a second optimization function as shown in formula (6):
wherein,and E is barrier (h, c) is as in formula (1); λ is the weight of the fourth energy; e (E) sparse (h) For the fourth energy, the energy for controlling the curved surface to generate the spike is shown as a formula (7):
wherein,the height of the preliminary adjusted curved surface calculated by the formula (1) in the step S3.
4. The art design device for the mirror cup is characterized by comprising the following modules:
the preprocessing module is used for inputting a direct observation picture and a reflection observation picture, filling a colored area of the direct observation picture into black, and filling other areas into light blue to obtain a pure-color picture of the direct observation picture; filling the colored areas of the reflection observation picture with white, and filling other areas with light blue to obtain a pure-color picture of the reflection observation picture; inputting a curved surface, and preprocessing the curved surface to obtain a reflecting shape curved surface of the curved surface under the columnar mirror surface; receiving parameters of an input observation camera;
the compatibility scoring module is used for projecting the pure-color picture of the direct observation picture to the curved surface from the observation camera according to parameters of the pure-color picture and then transferring the pure-color picture to the reflecting shape curved surface according to the corresponding relation to obtain the reflecting shape curved surface with patterns; projecting the reflection observation picture on the curved surface through specular reflection according to parameters of the reflection observation picture from an observation camera to obtain a curved surface with patterns; after the two are rendered by using the parameters of the observation camera, a reflective curved surface picture with a pattern and a curved surface picture with a pattern are rendered, and the errors of the reflective curved surface picture with the pattern and the pure color picture of the corresponding direct observation picture and the pure color picture of the reflective observation picture are calculated and summed to obtain a compatibility score;
the preliminary adjustment module is used for taking the preset proportion of the compatibility score as a second energy weight, and adjusting the shape of the input curved surface and the pattern on the input curved surface according to a first optimization function to obtain a preliminary result;
the final adjustment module is used for adjusting the shape and the pattern of the preliminary result according to a second optimization function to obtain a curved surface shape according to the preset proportion of the compatibility score as a fourth energy weight; and projecting the input direct observation picture and reflection observation picture to the curved surface shape according to parameters of the direct observation picture and the reflection observation picture from an observation camera according to the curved surface shape to obtain a final curved surface.
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